Finding the Third Proportional to 4,146 and 9,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,146 : 9,046.50 = 9,046.50 : x
2. Step 2: Convert to fraction form
   4,146/9,046.50 = 9,046.50/x
3. Step 3: Cross multiply
   4,146x = 9,046.50 × 9,046.50
4. Step 4: Simplify right side
   4,146x = 81,839,162.25
5. Step 5: Solve for x
   x = 81,839,162.25/4,146
6. Step 6: Final answer
   x = 19,739.31